Mathematical English Usage - a Dictionary

by Jerzy Trzeciak


[to/with sth; see also: difference, oppose

Note that, in contrast to F, the function G is bounded. [Not: “contrary to F'']

In contrast, Theorem 2 shows that......

By contrast, T does not have this symmetry.

This is in marked contrast to the behaviour of orthonormal sets in a Hilbert space.

Note the contrast with Theorem 3.

 [with sth; see also: differ] This contrasts sharply with the situation in metrizable spaces.

This contrasts with (but does not contradict) Theorem 2 of [6].

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